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Finding the Third Proportional to 56,058 and 83,288

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Solution

The third proportional to 56,058 and 83,288 is: 123,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,058 : 83,288 = 83,288 : x
  2. Step 2: Convert to fraction form
    56,058/83,288 = 83,288/x
  3. Step 3: Cross multiply
    56,058x = 83,288 × 83,288
  4. Step 4: Simplify right side
    56,058x = 6,936,890,944
  5. Step 5: Solve for x
    x = 6,936,890,944/56,058
  6. Step 6: Final answer
    x = 123,744.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.